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Finding the Fourth Proportional to 413,613.80, 620,420.70 and 176,980.40

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Solution

The fourth proportional to 413,613.80, 620,420.70 and 176,980.40 is: 265,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,613.80 : 620,420.70 = 176,980.40 : x
  2. Step 2: Convert to fraction form
    413,613.80/620,420.70 = 176,980.40/x
  3. Step 3: Cross multiply
    413,613.80x = 620,420.70 × 176,980.40
  4. Step 4: Simplify right side
    413,613.80x = 109,802,303,654.28
  5. Step 5: Solve for x
    x = 109,802,303,654.28/413,613.80
  6. Step 6: Final answer
    x = 265,470.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.